Stationary-action principle

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Explores algebraic topology and differential geometry in understanding robot dynamics and global behavior.

Explores symmetry, Noether's theorem, and conservation laws in physics, emphasizing the role of time and the Hamiltonian.

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Covers perturbation theory, variational principle, and systematic approaches to determining true energy levels.

Explores geodesics as locally shortest paths and defines surface area using parametric squares.

Explores the Hohenberg-Kohn Theorems, electron density distributions, and the variational principle in DFT.

Explores the historical perspective and postulates of quantum mechanics, focusing on the harmonic oscillator and approximation methods.

Covers the derivation of boundary conditions in mechanics of slender structures, focusing on total energy variation and equilibrium equations.

Explores spherically symmetric metrics in flat space and their implications in gravity and spacetime.

Explores equilibrium positions, lineic density, and the principle of least action in analytical mechanics.